For more detailed reference:
\\ start a new paragraph.
\\* start a new line but not a new paragraph.
\- OK to hyphenate a word here.
\cleardoublepage flush all material and start a new page, start new odd numbered page.
\clearpage plush all material and start a new page.
\hyphenation enter a sequence pf exceptional hyphenations.
\linebreak allow to break the line here.
\newline request a new line.
\newpage request a new page.
\nolinebreak no line break should happen here.
\nopagebreak no page break should happen here.
\pagebreak encourage page break.

If I use inline, I get this: \(\int \limits_a^bx^2dx \text{ and } \frac{a+\frac{1}{2}}{b} \text{ and } \left[ \begin{matrix} a&b\\c&d \end{matrix}\right ]\), which kind of squishes things a bit. Also the flow of text gets funky. But let me do stand alone with \[\int \limits_a^bx^2dx \text{ and } \frac{a+\frac{1}{2}}{b} \text{ and } \left[ \begin{matrix} a&b\\c&d \end{matrix}\right ]\]

lol there is only one way to learn Latex. Get the basics!! But there are ways to make your latex look better for eg \(\dfrac{a}{b}\) instead of \(\frac{a}{b}\) .Now I cannot reply to this post again.The huge lag caused by the latex on this page is getting on my nerves .

\(
\dfrac{Hello}{\dfrac{everyone}{\dfrac{I~Like}{TURTLES!!}}}
\)
@Machinda
How exactly do you want to simplify your latex? By reducing your code length? Or learn tricks to type it faster?
Just think of the basic syntax \underline{in this area the text will be underlined}
Or for tags with attributes: \color{<color>}{<text>}, or \dfrac{<numerator>}{<denominator>}
For many tags you do not need to put the following piece in braces, like for font size, you can just say \Large. all the following text will be Large untill you put a new font size tag. You can add braces but it's not neccesary. This is also for fonts type.
Also you can leave braces when only 1 character is after the tag.
For example with underline, If you only want to underline the letter d, just write \underline d. Same for color, \color{blue}d = same as \color{blue{d}
When you subscript of superscript text this can also be useful. You don't want to put braces around every subscript in a chemical formula. H_2O is the same as H_{2}O.
When you have more than 1 characher you do need to add braces.
Also it's important in which order you put the tags. When i want to write something in color with an orange underline i'd write it like this:
`\(\LARGE\bf\color{orangered}{\underline{\color{#00B4ff}{Open}\color{#7cc517}{Study}}}\)`
As you see the underline is in orangered color tags but in the underline braces a new color is defined which will overrride the first color.
\(\LARGE\bf\color{orangered}{\underline{\color{#00B4ff}{Open}\color{#7cc517}{Study}}}\)

\(\color{Magenta}█~~ \to\) `\(\color{Magenta}█\) `
if you want more magenta boxes you add an extra pair of braces to the color tag to define which part needs to be in magenta color.
It won't work if you just add more boxes, you'll get thi:
\(\color{Magenta}██████\) `\(\color{Magenta}██████\)`
now do it like this
`\(\color{Magenta}{██████} \)`